Autumn Awbrey's Access Nodes
Autumn Awbrey1, Autumn Awbrey2, Autumn Awbrey3
1 Artist, Department of Universe
2 Composer, Department of Music Theory, Los Angeles
3 Astrophysics, Department of Astronomy, UC Berkeley
Abstract—This presents a comprehensive overview of all which ways and wheres to connect with my music!
Keywords—Spotify, apple, youtube, literally everywhere
I. Introduction
hi! im autumn, my background is in astrophysics but i am absolutely obsessed with making music, so here we are. below is where you can find me or message me. if your specific access point is not included, look up my name on where you listen to music. just don't forget the "w" in my last name, dont worry ppl do it all the time
II. Access Points
Wave equation
ψ(x, t) = A sin(kx − ωt)
(1)
where ψ = displacement · A = amplitude · k = wavenumber · x = position · ω = angular frequency · t = time
Fourier decomposition
ℱ{f}(ξ) = ∫ f(t) e−2πiξt dt
(2)
where ℱ = Fourier operator · f(t) = time-domain signal · ξ = frequency variable · i = imaginary unit · t = time
Logistic growth
N(t) = K / (1 + e−r(t−t0))
(3)
where N(t) = spread at time t · K = maximum reach · r = growth rate · t0 = time of maximum growth rate
Laplacian of an image
∇2I(x,y) = 0
(4)
where ∇2 = Laplacian operator · I(x,y) = image intensity at pixel (x,y) · 0 = smooth uniform region
Sound intensity
I = 2π2ν2δ2ρc
(5)
where I = intensity · ν = frequency · δ = displacement amplitude · ρ = medium density · c = speed of sound
Exponential growth
N(t) = N0 · ert
(6)
where N(t) = count at time t · N₀ = initial count · r = growth rate · e = Euler's number · t = time
Total energy of a wave
Etotal = ½μA2ω2λ
(7)
where A = amplitude · ω = angular frequency · λ = wavelength · μ = linear mass density
Direct channel with zero information loss
P(received | sent) = 1
(8)
where P = probability · 1 = certainty